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Question

Simplify √-108

Answer 1

√-108

√(6²∗ (-3))

6 √-3

6 √((-1)∗3)

6 √(-1) ∗ √3

6i √3

√-108 = 6i √3

Answer 2

We have to simplify -108 by factoring out -36, and we have a multiple of -36 and 3, since the square root of -36 is 6i, then we can have 6i times square root of 3.

Answer 3

The square root of -108 first becomes the square root of -36 x 3.

The -36 moves in front of the square root as 6i, while the 3 remains under the square root.

The answer would be equal to 6i x the square root of 3.